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Simplifying x + 3 = -6(-7x + 7) + -242 Reorder the terms: 3 + x = -6(-7x + 7) + -242 Reorder the terms: 3 + x = -6(7 + -7x) + -242 3 + x = (7 * -6 + -7x * -6) + -242 3 + x = (-42 + 42x) + -242 Reorder the terms: 3 + x = -42 + -242 + 42x Combine like terms: -42 + -242 = -284 3 + x = -284 + 42x Solving 3 + x = -284 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 3 + x + -42x = -284 + 42x + -42x Combine like terms: x + -42x = -41x 3 + -41x = -284 + 42x + -42x Combine like terms: 42x + -42x = 0 3 + -41x = -284 + 0 3 + -41x = -284 Add '-3' to each side of the equation. 3 + -3 + -41x = -284 + -3 Combine like terms: 3 + -3 = 0 0 + -41x = -284 + -3 -41x = -284 + -3 Combine like terms: -284 + -3 = -287 -41x = -287 Divide each side by '-41'. x = 7 Simplifying x = 7
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